How do you combine like terms in #(7x ^ { 4} - 8x ^ { 3} + 5) + ( 6x ^ { 3} - 8x ^ { 2} )#?

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Answer 1 · 2017-03-11T10:45:14

#7x^4-2x^3-8x^2+5#

#color(blue)((7x^4-8x^3+5)+(6x^3-8x^2)#

Remove the brackets

#rarr7x^4-8x^3+5+6x^3-8x^2#

Combine the like terms

#rarr7x^4-underbrace(8x^3)+5+underbrace(6x^3)-8x^2#

#rarr7x^4-2x^3+5-8x^2#

Write in standard form (decreasing powers)

Final solution

#color(green)(rArr7x^4-2x^3-8x^2+5#

Hope this helps! ☺